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Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：119/0  |  提交时间：2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4 期刊论文
FORUM MATHEMATICUM, 2020, 卷号: 32, 期号: 6, 页码: 1575-1598
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载：133/0  |  提交时间：2021/01/14
Well-posedness  Zakharov-Kuznetsov equation  dyadic X-s,X-b  dyadic bilinear estimates  
GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1283-1307
作者:  Kishimoto, Nobu;  Shan, Minjie;  Tsutsumi, Yoshio
收藏  |  浏览/下载：126/0  |  提交时间：2020/05/24
Kadomtsev-Petviashvili II equation  global well-posedness  global attractor  I-method  A-priori estimate  
Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 卷号: 235, 期号: 2, 页码: 1405-1444
作者:  Liu, Yanlin;  Zhang, Ping
收藏  |  浏览/下载：141/0  |  提交时间：2020/05/24
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
作者:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
收藏  |  浏览/下载：127/0  |  提交时间：2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 3, 页码: 2237-2274
作者:  Roeckner, Michael;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：177/0  |  提交时间：2020/09/23
stochastic heat equation  Ricci curvature  functional inequality  quasi-regular Dirichlet form  
AN APPROXIMATE FACTORIZATION METHOD FOR INVERSE ACOUSTIC SCATTERING WITH PHASELESS TOTAL-FIELD DATA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2020, 卷号: 80, 期号: 5, 页码: 2271-2298
作者:  Zhang, Bo;  Zhang, Haiwen
收藏  |  浏览/下载：149/0  |  提交时间：2021/01/14
inverse acoustic scattering  approximate factorization method  phaseless total-field data  asymptotic behavior of phaseless total-field operator